Pith Number

pith:476TRNZ7

pith:2018:476TRNZ74LJJVR7N576FAIQPIP

not attested not anchored not stored refs pending

A Generalized Beurling Theorem in Finite von Neumann Algebras

Don Hadwin, Lauren Sager, Wenjing Liu

arxiv:1807.09916 v1 · 2018-07-26 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{476TRNZ74LJJVR7N576FAIQPIP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:09:46.123930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fd38b73fe2d29ac7edeffc50220f43fcb68521ac4c44d4609125240f7fb6a6

Aliases

arxiv: 1807.09916 · arxiv_version: 1807.09916v1 · doi: 10.48550/arxiv.1807.09916 · pith_short_12: 476TRNZ74LJJ · pith_short_16: 476TRNZ74LJJVR7N · pith_short_8: 476TRNZ7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/476TRNZ74LJJVR7N576FAIQPIP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7fd38b73fe2d29ac7edeffc50220f43fcb68521ac4c44d4609125240f7fb6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4875dc5614eaf7e9aef196180fce598bc7b66b699502559d8b594cce0a1903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-07-26T01:50:55Z",
    "title_canon_sha256": "04c3ab0f04ff0ea432bc33f7b2941e6d1ebcea777030c5635be81265da27d8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09916",
    "kind": "arxiv",
    "version": 1
  }
}